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Finding the Fourth Proportional to 6,806.33, 9,392.20 and 3,821.60

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Solution

The fourth proportional to 6,806.33, 9,392.20 and 3,821.60 is: 5,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.33 : 9,392.20 = 3,821.60 : x
  2. Step 2: Convert to fraction form
    6,806.33/9,392.20 = 3,821.60/x
  3. Step 3: Cross multiply
    6,806.33x = 9,392.20 × 3,821.60
  4. Step 4: Simplify right side
    6,806.33x = 35,893,165.45
  5. Step 5: Solve for x
    x = 35,893,165.45/6,806.33
  6. Step 6: Final answer
    x = 5,273.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.